What is the Least Common Multiple of 40642 and 40657?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 40642 and 40657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40642 and 40657, than apply into the LCM equation.

GCF(40642,40657) = 1
LCM(40642,40657) = ( 40642 × 40657) / 1
LCM(40642,40657) = 1652381794 / 1
LCM(40642,40657) = 1652381794

Least Common Multiple (LCM) of 40642 and 40657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40642 and 40657. First we will calculate the prime factors of 40642 and 40657.

Prime Factorization of 40642

Prime Factorization of 40657

Now multiplying the highest exponent prime factors to calculate the LCM of 40642 and 40657.

LCM(40642,40657) = 2¹ × 7¹ × 2903¹ × 109¹ × 373¹
LCM(40642,40657) = 1652381794